Least Common Multiple of 1160 and 1166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1160 and 1166 the smallest integer that is 676280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1160 and 1166 is 676280.

LCM(1160,1166) = 676280

LCM of 1160 and 1166

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1160 and 1166

LCM of 1160 and 1166 is 676280

Least common multiple can be found by multiplying the highest exponent prime factors of 1160 and 1166. First we will calculate the prime factors of 1160 and 1166.

Prime Factorization of 1160


2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 1160 are 2, 5,29. Prime factorization of 1160 in exponential form is:

1160 = 23×51×291

Prime Factorization of 1166


2 1166
11 583
53 53
1

Prime factors of 1166 are 2, 11,53. Prime factorization of 1166 in exponential form is:

1166 = 21×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 1160 and 1166.

LCM(1160,1166) = 23×51×111×291×531
LCM(1160,1166) = 676280

Factors of 1160

List of positive integer factors of 1160 that divides 1160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160

Factors of 1166

List of positive integer factors of 1166 that divides 1166 without a remainder.

1, 2, 11, 22, 53, 106, 583, 1166

Least Common Multiple of 1160 and 1166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1160 and 1166, than apply into the LCM equation.

GCF(1160,1166) = 2
LCM(1160,1166) = ( 1160 × 1166) / 2
LCM(1160,1166) = 1352560 / 2
LCM(1160,1166) = 676280

Properties of LCM 1160 and 1166

(i) The LCM of 1166 and 1160 is associative

LCM of 1160 and 1166 = LCM of 1166 and 1160

Related Least Common Multiples of 1160

Related Least Common Multiples of 1166

Frequently Asked Questions on LCM of 1160 and 1166

1. What is the LCM of 1160 and 1166?

Answer: LCM of 1160 and 1166 is 676280.

2. What are the Factors of 1160?

Answer: Factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160. There are 16 integers that are factors of 1160. The greatest factor of 1160 is 1160.

3. What are the Factors of 1166?

Answer: Factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166. There are 8 integers that are factors of 1166. The greatest factor of 1166 is 1166.

4. How to Find the LCM of 1160 and 1166?

Answer:

Least Common Multiple of 1160 and 1166 = 676280

Step 1: Find the prime factorization of 1160

1160 = 2 x 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 1166

1166 = 2 x 11 x 53

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 676280 = 2 x 2 x 2 x 5 x 11 x 29 x 53

Step 4: Therefore, the least common multiple of 1160 and 1166 is 676280.